94477992900480 has 1280 divisors, whose sum is σ = 402793211842560. Its totient is φ = 20633965608960.

The previous prime is 94477992900377. The next prime is 94477992900481. The reversal of 94477992900480 is 8400929977449.

94477992900480 is a `hidden beast` number, since 9 + 4 + 477 + 99 + 29 + 0 + 0 + 48 + 0 = 666.

It is a super-2 number, since 2×94477992900480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 94477992900399 and 94477992900408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94477992900481) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 8521505497 + ... + 8521516583.

It is an arithmetic number, because the mean of its divisors is an integer number (314682196752).

Almost surely, 2^{94477992900480} is an apocalyptic number.

94477992900480 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 94477992900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201396605921280).

94477992900480 is an abundant number, since it is smaller than the sum of its proper divisors (308315218942080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

94477992900480 is a wasteful number, since it uses less digits than its factorization.

94477992900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12169 (or 12148 counting only the distinct ones).

The product of its (nonzero) digits is 329204736, while the sum is 72.

The spelling of 94477992900480 in words is "ninety-four trillion, four hundred seventy-seven billion, nine hundred ninety-two million, nine hundred thousand, four hundred eighty".